93.3k views
2 votes
Find the interest rate r compounded monthly if the principal P = $4,300 reaches the future value F = $4,720 in t = 6 years. Round your final answer to two decimal places.​

User Benbrunton
by
4.1k points

1 Answer

5 votes

Answer:

1.55%

Explanation:

Fill in the values and solve for the rate using the future value formula.

FV = P(1 +r/n)^(nt)

4720 = 4300(1 +r/12)^(12·6)

(4720/4300)^(1/72) = 1 +r/12

r = 12(4720/4300)^(1/72) -1) ≈ 0.015542

The annual interest rate is about 1.55%.

User Avichal
by
4.9k points